A set of vectors
What the fuck is this?
What the fuck is this pt.2
If
If a vector space
If a vector space
We either do the same thing with
We take the R.E.F. again, then the columns of matrix B, which are Linearly independent because they have leading 1's, are also Linearly independent in A, and these columns in A form the basis of the column space of A.
This method doesn't necessarily give the same basis that results from the Transpose method.